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Bailey, Drew H.; Siegler, Robert S.; Geary, David C. – Developmental Science, 2014
Recent findings that earlier fraction knowledge predicts later mathematics achievement raise the question of what predicts later fraction knowledge. Analyses of longitudinal data indicated that whole number magnitude knowledge in first grade predicted knowledge of fraction magnitudes in middle school, controlling for whole number arithmetic…
Descriptors: Predictor Variables, Middle School Students, Mathematical Concepts, Mathematics Instruction
Watts, Tyler W.; Duncan, Greg J.; Siegler, Robert S.; Davis-Kean, Pamela E. – Society for Research on Educational Effectiveness, 2014
A number of studies, both small scale and of nationally-representative student samples, have reported substantial associations between school entry math ability and later elementary school achievement. However, questions remain regarding the persistence of the association between early growth in math ability and later math achievement due to the…
Descriptors: Mathematics Skills, Academic Ability, Correlation, Elementary School Students
Booth, Julie L.; Siegler, Robert S. – Child Development, 2008
This study examined whether the quality of first graders' (mean age = 7.2 years) numerical magnitude representations is correlated with, predictive of, and causally related to their arithmetic learning. The children's pretest numerical magnitude representations were found to be correlated with their pretest arithmetic knowledge and to be…
Descriptors: Pretests Posttests, Achievement Tests, Short Term Memory, Mathematics Skills
Watts, Tyler W.; Duncan, Greg J.; Chen, Meichu; Claessens, Amy; Davis-Kean, Pamela E.; Duckworth, Kathryn; Engel, Mimi; Siegler, Robert; Susperreguy, Maria I. – Child Development, 2015
Despite research demonstrating a strong association between early and later mathematics achievement, few studies have investigated mediators of this association. Using longitudinal data (n = 1,362), this study tested the extent to which mathematics self-concepts, school placement, executive functioning, and proficiency in fractions and division…
Descriptors: Mathematics Achievement, Longitudinal Studies, Self Concept, Mathematics Skills
Siegler, Robert; Carpenter, Thomas; Fennell, Francis; Geary, David; Lewis, James; Okamoto, Yukari; Thompson, Laurie; Wray, Jonathan – What Works Clearinghouse, 2010
This practice guide presents five recommendations intended to help educators improve students' understanding of, and problem-solving success with, fractions. Recommendations progress from proposals for how to build rudimentary understanding of fractions in young children; to ideas for helping older children understand the meaning of fractions and…
Descriptors: Mathematics, Problem Solving, Young Children, Elementary Education
Booth, Julie L.; Siegler, Robert S. – Developmental Psychology, 2006
The authors examined developmental and individual differences in pure numerical estimation, the type of estimation that depends solely on knowledge of numbers. Children between kindergarten and 4th grade were asked to solve 4 types of numerical estimation problems: computational, numerosity, measurement, and number line. In Experiment 1,…
Descriptors: Individual Differences, Individual Development, Numbers, Computation
Siegler, Robert S.; Booth, Julie L. – Child Development, 2004
Two experiments examined kindergartners', first graders', and second graders' numerical estimation, the internal representations that gave rise to the estimates, and the general hypothesis that developmental sequences within a domain tend to repeat themselves in new contexts. Development of estimation in this age range on 0-to-100 number lines…
Descriptors: Age Differences, Mathematics Achievement, Achievement Tests, Elementary School Mathematics